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STARTING METHODS OF
INDUCTION MACHINE
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Why we need starters?
As it is seen that a 3 phase induction motor haspositive finite starting torque T when slip s=1. thismean that 3-pahse induction motor is a self-startingmotor and begins to rotate on its own when
connected to a 3-phase supply. At the instant of starting 3-phase induction motor
behaves like a transformer with a short-circuitedsecondary.
Consequently, a 3-pahse induction motor takes highstarting current if started at full voltage. In order tolimit this high starting current to reasonable limitsstarting methods are used.
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Methods of Starting There are primarily two methods of starting the
induction motor:-a) Full voltage starting.
b) Reduced voltage starting.
Full voltage starting methods consist of:-
a) DOL (Direct-on-line starting)
Reduced voltage starting consist of:-
a) Stator resistor (or reactor) starting.
b) Auto-transformer starting.c) Star-delta starting.
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DOL(Direct-on-line)starting
This method involves direct switching of
poly-phase stator on to the supply mains.
The motor takes starting current of 5 to 7 times itsfull load current depending upon its size anddesign.
Such large current of short duration dont harm therugged squirrel cage motor, but the high currentsmay cause objectionable voltage drop in power
supply feeding the induction motor These large voltage drop causes undesirable dip in
the supply line voltage, consequently affecting theother equipments connected to the same supply.
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The relation between the starting torque Ts and fullload torque Tf is now obtained .
Let Is and If be the per phase stator currents drawn
from the supply mains corresponding to startingand full load conditions respectively.
We know:-
Therefore:-
------Eqn(1)
Now
s
rIT
s
e22
2..
1
f
f
s
ff
s
f
s sI
I
srI
rI
T
T.
1
2
2
2
2
2
sc
sc
st IZ
VI 1
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V1 is per-phase stator voltage & Zsc=(r1+r2)+j(x1+x2), is the leakage impedance.
Therefore Eqn(1) can be written as:-
----Eqn(2)f
f
sc
f
s sI
I
T
T.
2
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Stator resistor(reactor)method In this method, a resistor or a reactor is inserted in
between motor terminals and supply mains. At the time of starting some voltage drop occurs
across the starting resistor and therefore only afraction x of supply voltage appears across it.
This reduces the per phase starting currents Isdrawn by the motor from the supply mains.
As the motor speeds up, the
reactor is cut out in stepsand finally short-circuited
when the motor speed is
near to synchronous speed.
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Since the per phase voltage is reduced to xV1 theper phase starting current is:-
Now we know:-
Therefore we have:-
-----Eqn(1)
Therefore:-
scsc
s
xIZ
xVI 1
s
rIT
s
2
2
2.1
f
f
sc
f
s sI
Ix
T
T2
2
2
2
1
1
switchingdirectwithtorquestarting
startingreactorwithtorquestartingx
V
xV
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Auto-Transformer starting A fraction xV1 of the supply voltage V1 is applied to
the stator terminals at the time of starting, bymeans of an auto-transformer.
This reduces the motor current and also thecurrent drawn from the supply.
After the motor has accelerated near to its operatingspeed, auto-transformer
is disconnected and full
line voltage is applied by
connecting it directly
across the supply mains.
x is less then one.
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With auto-transformer, per phase starting currentin motor winding is:-
-------Eqn(a)
If no load current is neglected , then per phaseoutput VA must be equal to its per phase input VA.That is:-
Is.V1 = xV1 (per phase starting current)\
Or Is. V1 = x V1 (x Isc)
Hence per phase starting current from the supply
mains,-------Eqn (b)
scsc xIZ
xV 1
scsIxI .
2
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Now from the torque equation we have:-
---------Eqn(c)
Form eqn(b) we can write:-
-------Eqn(d)
f
f
sc
f
s sI
xI
T
T2
2)(
f
f
sc sI
Ix
2
2
f
f
s
f
s s
I
I
x
x
T
T2
2
2 .1
f
f
s sI
I
x
2
2
1
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For an induction motor
Therefore:-
------Eqn(e)
2(Voltage)Torque
2
2
1
1
switchingdirectwithTorque
rtransforme-AutowithTorquex
V
xV
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Star-Delta Starting This method is used in the case of motors which are
built to run normally with delta connected statorwindings.
It consist of a two way switch called TPDT
(Triple pole double throw)which connects the motorin star for starting and then in delta for normalrunning.
When star connected, the applied voltage over eachmotor phase is reduced by a factor of and hencethe torque developed becomes 1/3 of that whichwould have been developed if motor were directlyconnected in delta.
31
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During starting period when motor is starconnected, it takes 1/3 as much starting current anddevelops 1/3rd as much torque as would have been
developed when it directly connected in delta.
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Let VL be the line voltage. Then per phase motorstarting current Isy with stator connected in star isgiven by:-
With stator winding in star, Isy is also the startingcurrent with star -delta starter. If the stator windingis connected in delta then with direct switching, per
phase motor starting current Isd would be given by:-
And starting line current with direct switchingwould be equal to:
sc
L
syZ
V
I 3
scd
sc
L
sdI
Z
VI
scdsd
sc
L IIZ
V333
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Note that :
Here the subscript y and d denotes star and delta
connections of the stator windings.
Therefore
Thus from the star-delta starter, the startingcurrent from the mains is one-third of that withdirect switching in delta
sdsy II3
1
31
3
3
1
3deltainswitchingdirectthcurrent wilineStartingstarterdelta-starthcurrent wilineStarting
sc
L
sc
L
sd
sy
Z
VZ
V
II
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Also:
This shows that star-delta starter reduces thestarting torque to one-third of that produced by
direct switching in delta. Now ratio of starting and full load torque is given
by:-
3
13
deltainswitchingdirectwithtorqueStarting
starterdelta-starwithtorqueStarting2
2
L
L
V
V
2
2
f
s
Tdelta,indingstator winwithtorqueloadFull
Tstarter,delta-starwithtorqueStarting
fd
flsy
I
sI
fl
dfl
dscfl
fd
sd
s
I
Is
I
I 2
.
.
2
2
3
13
1
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THANKS!!